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3 years ago

Write the equation that is the translation of y=|x| right 7 units and down 9 units.

Mathematics

1 answer:

DedPeter [7]3 years ago

8 0

Answer:

$y=|x-7|-9$ .

Step-by-step explanation:

The given function is $y=|x|$ .

When this function is translated to the right 7 units and down 9 units, then the equation becomes

$y=|x-7|-9$ .

Always remember that; $y=|x-c|-k$ is a transformation that translates the graph of $y=|x|$ c units to the right and k units down.

The correct choice is the first option.

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ValentinkaMS [17]

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2 years ago

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3 years ago

4 students is what percentage of 20 students?2 doctors is _____% of 25 doctors.

Ray Of Light [21]

In both cases, we can use a rule of three.

<h2>First part</h2> $\begin{gathered} 20\text{ students}\rightarrow100\text{\%} \\ 4\text{ students}\rightarrow x \\ x=\frac{4\text{ students}\cdot100\text{\%}}{20\text{ students}} \\ x=\frac{4\cdot100\text{\%}}{20} \\ x=\frac{400\text{\%}}{20} \\ x=20\text{\%} \end{gathered}$

Therefore, 4 students correspond to 20% of 20 students in total.

<h2>Second part</h2> $\begin{gathered} 25\text{ doctors}\rightarrow100\text{\%} \\ 2\text{ doctors}\rightarrow x \\ x=\frac{2\text{ doctors}\cdot100\text{\%}}{25\text{ doctors}} \\ x=\frac{2\cdot100\text{\%}}{25} \\ x=\frac{200\text{\%}}{25} \\ x=8\text{\%} \end{gathered}$

Therefore, 2 doctors correspond to 8% of 25 doctors in total.

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1 year ago